Question

Factor of the polynomial x²+5x+6​

Answer 1

Step-by-step explanation:

HEY MATE YOUR ANSWER IS HERE ^_^

x² + 5x + 6 = x² + 3x + 2x + 6 = x(x+3) + 2(x+3) = (x+2)(x+3)

PLEASE MAKE ME A BRAINLIEST ANSWER FOR THE QUESTION.

Answer 2

$\qquad \qquad \bigstar \:\:\pmb{\underline{\mathbb {\:\:GIVEN \:POLYNOMIAL \:\::\:}\:\sf x^2 \:+\:5x\:+\:6\:}}$

$\twoheadrightarrow \sf x^2\:+\:5x\:+\:6\:=\:0\:\\\\\\ \twoheadrightarrow \sf x^2\:+\:3x\:+\:2x\:+\:6\:=\:0\:\\\\\\\twoheadrightarrow \sf x\:\Big\{ \:x\:+\:3\:\Big\}\:+\:2\:\Big\{ \:x\:+\:3\:\Big\}\:=\:0\:\\\\\\ \twoheadrightarrow \sf \Big\{ \:x\:+\:2\:\Big\}\:\Big\{ \:x\:+\:3\:\Big\}\:=\:0\:\\\\\\\twoheadrightarrow \pmb {\underline {\boxed {\purple {\:\frak{ \:\Big\{ \:x\:+\:2\:\Big\}\:\Big\{ \:x\:+\:3\:\Big\}\:\:}}}}}\:\bigstar \:$

$\therefore \:\underline {\sf \:Hence \:,\: The \:factors\:of \:Given \:Polynomial \:\:is\:\pmb{\sf \big\{ \:x\:+\:2\:\big\}\:\big\{ \:x\:+\:3\:\big\}\: \:}\:.}$